Contents
Preface
1. Introduction
1.1 Philosophy and Foundational Problems
1.2 Autonomy and Fundamentality
1.3 Two-ish Senses of Fundamental
1.4 Hydrodynamic Methods: A First Pass
1.5 Representative Volume Elements
1.6 Fluctuation and Dissipation
1.7 Preview of Upcoming Chapters
2. Autonomy
2.1 Pegs and Boards
2.2 How to Answer (AUT)
2.2.1 Multiple Realizability? Really?
2.2.2 Universality
2.2.3 Renormalization Group
2.3 Generalizations
2.3.1 Multi-scale Modeling of Materials
2.4 A Brief Thought Experiment
2.5 Conclusion
3. Hydrodynamics
3.1 Conserved Quantities and Transport
3.1.1 Spin Diffusion Equations
3.2 Correlation Functions
3.3 Linear Response
3.4 Conclusion
4. Brownian Motion
4.1 Introduction
4.2 The Hydrodynamic Equation
4.3 Effective Viscosity in Brownian Contexts
4.3.1 Summary: An Answer to (AUT)
4.4 Brownian Motion and the F-D Theorem
4.5 Conclusion
5. From Brownian Motion to Bending Beams
5.1 Introduction
5.2 Bulk Properties of Heterogeneous Systems
5.3 Conclusion
6. An Engineering Approach
6.1 Introduction
6.2 Schwinger's Engineering Approach
6.3 Order Parameters, Mesoscales, Correlations
6.4 Multiscale Modeling in Biology
6.4.1 Modeling Bone Fracture
6.5 Conclusion
7. The Right Variables and Natural Kinds
7.1 Introduction
7.2 Woodward on Variable Choice
7.3 The Right (Mesoscale) Variables
7.4 Another Minimal Model Example
7.4.1 The Model: Lattice Gas Automaton
7.5 Conclusion
8. Conclusions
8.1 Foundational Problems vs. Methodology
8.2 Autonomy and Heterogeneity
8.3 Brownian Motion and the F-D Theorem
8.4 A Middle-Out/Engineering Methodology
8.5 A Physical Argument for the Right Variables